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Len [333]
4 years ago
14

A line with a slope of 3/2 passes through (4,-1). Write the equation.

Mathematics
2 answers:
Viefleur [7K]4 years ago
8 0

we know that

the equation of the line in the form point-slope is equal to

y-y1=m*(x-x1)

in this problem we have

point(4,-1)\\\\m=\frac{3}{2}

Substitute the values

y+1=\frac{3}{2}*(x-4)

y=\frac{3}{2}x-6-1\\\\y=\frac{3}{2}x-7

therefore

<u>the answer is</u>

y=\frac{3}{2}x-7

RideAnS [48]4 years ago
7 0
Hey there!

We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:

-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b

Now, since we have our slope and y-intercept, we can write our equation with these two values:

y = 3/2x - 6

Hope this helps!
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I need help with numbers 2,3,4,5,6 I need to graduate so help
Neporo4naja [7]

Answer:

2.

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

*note* you can simplify the above further (by rationalizing them), but I think it's probably fine to leave them as is *

3.) g15.9

4.)25.4

5.) 70.8

6.) 36.4

Step-by-step explanation:

Cot is the inverse of toa so cot= adj/opp

This means the traingle's adjacent side is √3 and its opposite is 5

with this information let's figure out the hypotonouse

√3²+5²=c²

3+25=c²

28=c²

√28=c

√28=2√7

which means the triangle's

opposite= √3

hypotonous= 2√7

Adjacent= 5

With all of this we can just plug in the numbers to find the missing information (where α=angle or theta)

sinα=√3/(2√7)

cosα=5/(2√7)

tanα=5/√3

cscα=(2√7)/√3

secα=(2√7)/5

For this one we have the adjacent and need the opposite

we will use TOA

Tan(25)=x/34

34tan(25)=x

x=15.9

4.) For this one we have the adjacent but need the hypotonouse

we will use CAH

cos(48)=17/x

17/cos(48)=x

x=25.4

5.) for number 5 we have the oppsite and hypotonouse and so we'll use SOH

sin(α)=17/18

α=70.8

6.) For this one we have the opposite and adjacent and so we'll use TOA

Tan(α)=(31/42)

α=36.4

8 0
3 years ago
(01.02 LC) There are (36)2.30 candies in a store. What is the total number of candies in the store? (5 points)
EleoNora [17]

Answer:

82.8

Step-by-step explanation:

i think this is correct dont get mad if im wrong but im 80% sure im right

6 0
3 years ago
What is the range of the following list of ordered pairs? (-3, -1), (0, -2), (4, 3), (1, 5)
lawyer [7]
(-3,-1),(0,-2),(1,5),(4,3)
6 0
3 years ago
A rectangle has vertices at these coordinates. (2, −2), (2, 5), (−1, 5) What are the coordinates of the fourth vertex of the rec
Leni [432]
(-1,-2) That is the answer to your question.

6 0
3 years ago
Plz help me with this
Nana76 [90]
This question is not even trying to test your arithmetic.  It's just testing
to see whether you know how to read numbers in words properly.

When you read numbers in words, the only time you ever say "and"
is for a decimal point.  There are no decimals in this question, so the
"and" is not a part of any numbers.

The question gives you two numbers. The word "and" is the marker
that's BETWEEN them.  The two numbers are 1,300 and 950 .

The first thing the question wants you to do is write the numerical
expression for all the words.  That's    (1300 - 950) / 4 .

The next thing you're supposed to do is"evaluate the expression" ...
find out what number it all boils down to.  I don't think you'll have
any trouble with that now.
3 0
3 years ago
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